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Finding the Fourth Proportional to 46,940, 70,410 and 15,775.25

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Solution

The fourth proportional to 46,940, 70,410 and 15,775.25 is: 23,662.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,940 : 70,410 = 15,775.25 : x
  2. Step 2: Convert to fraction form
    46,940/70,410 = 15,775.25/x
  3. Step 3: Cross multiply
    46,940x = 70,410 × 15,775.25
  4. Step 4: Simplify right side
    46,940x = 1,110,735,352.50
  5. Step 5: Solve for x
    x = 1,110,735,352.50/46,940
  6. Step 6: Final answer
    x = 23,662.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.